105212 has 12 divisors (see below), whose sum is σ = 190680. Its totient is φ = 50736.

The previous prime is 105211. The next prime is 105227. The reversal of 105212 is 212501.

It is a super-2 number, since 2×105212² = 22139129888, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 105193 and 105202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (15890).

2¹⁰⁵²¹² is an apocalyptic number.

It is an amenable number.

105212 is a deficient number, since it is larger than the sum of its proper divisors (85468).

105212 is a wasteful number, since it uses less digits than its factorization.

105212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105212 is about 324.3639930695. The cubic root of 105212 is about 47.2086692876.

Adding to 105212 its reverse (212501), we get a palindrome (317713).

The spelling of 105212 in words is "one hundred five thousand, two hundred twelve".